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Simplifying u + 29 + 36u = 24u + 42 Reorder the terms: 29 + u + 36u = 24u + 42 Combine like terms: u + 36u = 37u 29 + 37u = 24u + 42 Reorder the terms: 29 + 37u = 42 + 24u Solving 29 + 37u = 42 + 24u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-24u' to each side of the equation. 29 + 37u + -24u = 42 + 24u + -24u Combine like terms: 37u + -24u = 13u 29 + 13u = 42 + 24u + -24u Combine like terms: 24u + -24u = 0 29 + 13u = 42 + 0 29 + 13u = 42 Add '-29' to each side of the equation. 29 + -29 + 13u = 42 + -29 Combine like terms: 29 + -29 = 0 0 + 13u = 42 + -29 13u = 42 + -29 Combine like terms: 42 + -29 = 13 13u = 13 Divide each side by '13'. u = 1 Simplifying u = 1
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